Subjects statistics

Median Instruments 505Da6

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1. **State the problem:** We are given a frequency table showing how many musical instruments some students play, and we need to find the median number of instruments played. 2. **Understand the data:** The table is: | Number of instruments | Frequency | |-----------------------|-----------| | 0 | 3 | | 1 | 2 | | 2 | 2 | | 3 | 4 | 3. **Calculate total number of students:** $$3 + 2 + 2 + 4 = 11$$ 4. **Find the median position:** Since there are 11 students, the median is the value at position $$\frac{11 + 1}{2} = 6$$ 5. **Locate the median in the cumulative frequency:** - Instruments 0: positions 1 to 3 - Instruments 1: positions 4 to 5 - Instruments 2: positions 6 to 7 - Instruments 3: positions 8 to 11 The 6th position falls in the group with 2 instruments. 6. **Conclusion:** The median number of musical instruments played is **2**.